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Finding the Fourth Proportional to 109,615.68, 164,274.48 and 56,916

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Solution

The fourth proportional to 109,615.68, 164,274.48 and 56,916 is: 85,296.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,615.68 : 164,274.48 = 56,916 : x
  2. Step 2: Convert to fraction form
    109,615.68/164,274.48 = 56,916/x
  3. Step 3: Cross multiply
    109,615.68x = 164,274.48 × 56,916
  4. Step 4: Simplify right side
    109,615.68x = 9,349,846,303.68
  5. Step 5: Solve for x
    x = 9,349,846,303.68/109,615.68
  6. Step 6: Final answer
    x = 85,296.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.